Crystal Lab › Prototype structures › Trigonal
Nb₂Mn₄O₉
Trigonal · space group P-3c1 (No. 165) · Pearson hP30
Symmetry elements and Wyckoff positions (interactive)
Nb₂Mn₄O₉ in P-3c1
SettingUnit cell
- Lattice constants
- a = 5.335 Å, b = 5.335 Å, c = 14.320 Å; α = 90.00°, β = 90.00°, γ = 120.00°
- Cell volume
- 353.0 ų
- Atoms in the conventional cell
- 30 (Nb 4, Mn 8, O 18)
- Formula units Z
- 2
- Pearson symbol
- hP30 — hexagonal / trigonal, primitive lattice, 30 atoms per conventional cell
- Symmetry operations
- 12 per cell
Crystallographic sites
| Site | Element | Wyckoff | Multiplicity | x | y | z |
|---|---|---|---|---|---|---|
| Nb3 | Nb | 4c | 4 | 0.0000 | 0.0000 | 0.3575 |
| Mn1 | Mn | 4d | 4 | 0.3333 | 0.6667 | 0.0181 |
| Mn2 | Mn | 4d | 4 | 0.3333 | 0.6667 | 0.2970 |
| O4 | O | 6f | 6 | 0.3000 | 0.0000 | 0.2500 |
| O5 | O | 12g | 12 | 0.3340 | 0.2950 | 0.0880 |
The multiplicity and the Wyckoff letter say how many copies of the site the group makes in one cell and on which kind of symmetry element the site sits; the 30 atoms drawn above are these sites multiplied by all 12 operations. Press Wyckoff under Colour to see the sites, and tick a symmetry element on the left to see which atoms lie on it.
How to read the label
A4B2C9_hP30_165_2d_c_fg-001: the stoichiometry comes first (A, B, C… are the elements in alphabetical order of their site labels), then the Pearson symbol hP30, then the space-group number 165, then the Wyckoff letters occupied by each element in turn (Nb: 4c; Mn: 4d; Mn: 4d; O: 6f; O: 12g). Two structures with the same label are the same arrangement with different cell parameters or coordinates.
Other compounds with this structure
Nb₂(Co_{x}Mn_{1-x})O₉, Nb₂Co₄O₉, Nb₂Fe₄O₉, Nb₂Mg₄O₉, Nb₂Mn₄O₉, Nb₂Zn₄O₉, Ta₂(Mg_{x}Mn_{1-x})O₉, Ta₂(Mg_{x}Ni_{1-x})O₉, Ta₂(Mg_{x}Zn_{1-x})O₉, Ta₂Co₄O₉, Ta₂Mg₄O₉, Ta₂Mn₄O₉, Ta₂Zn₄O₉, W₂(Li₂Mg₂)O₉, W₂(Li₂Zn₂)O₉ <!--beginning with an
Source
Coordinates and cell from the AFLOW Encyclopedia of Crystallographic Prototypes, entry A4B2C9_hP30_165_2d_c_fg-001 (M. J. Mehl et al., Comput. Mater. Sci. 136, S1 (2017); D. Hicks et al., ibid. 161, S1 (2019) and 199, 110450 (2021); S. Eckert et al., ibid. 240, 112988 (2024)). Symmetry elements, Wyckoff assignment and the diagram are computed on this page from the group operations.
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